Some another remarks on the generalization of Bernoulli and Euler numbers

In this paper we investigate generalized Bernoulli and Euler polynomials. In section 1, we enter multiplication theorem for generalized Bernoulli and Euler numbers. Aslo in section 2, we introduce a matrix representation of [B.sup.-1.sub.n] and [E.sup.-1.sub.n] . Furthermore in section 3 we consider Euler Maclaurin summation formula for [alpha]- Bernoulli numbers and in section 4 we give a relation between associated stirling numbers and [B.sub.n](a, b). Also in end section of this paper we consider a new method for representation of Apostol Bernoulli numbers. Keywords Bernoulli numbers, Euler polynomials, Stirling numbers of the second kind, generating functions.
Short review of classical approaches Bernoulli numbers were first introduced by Jacques Bernoulli (1654-1705), in the second part of his treatise published in 1713, Ars conjectandi , at the time, [...]